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Finding the Third Proportional to 8,433 and 16,744.50

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Solution

The third proportional to 8,433 and 16,744.50 is: 33,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 16,744.50 = 16,744.50 : x
  2. Step 2: Convert to fraction form
    8,433/16,744.50 = 16,744.50/x
  3. Step 3: Cross multiply
    8,433x = 16,744.50 × 16,744.50
  4. Step 4: Simplify right side
    8,433x = 280,378,280.25
  5. Step 5: Solve for x
    x = 280,378,280.25/8,433
  6. Step 6: Final answer
    x = 33,247.75

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.